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Finding the Third Proportional to 619.56 and 912.22

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Solution

The third proportional to 619.56 and 912.22 is: 1,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.56 : 912.22 = 912.22 : x
  2. Step 2: Convert to fraction form
    619.56/912.22 = 912.22/x
  3. Step 3: Cross multiply
    619.56x = 912.22 × 912.22
  4. Step 4: Simplify right side
    619.56x = 832,143.05
  5. Step 5: Solve for x
    x = 832,143.05/619.56
  6. Step 6: Final answer
    x = 1,343.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.